Cauchy lies between the Rupes Cauchy and the Rimae Cauchy, as described below.
South of Rupes Cauchy are two lunar domes designated Omega (ω) Cauchy and Tau (τ) Cauchy. They lie to the south and southwest of Cauchy respectively. Each lunar dome has a small depression at its crest, which is likely to be a volcanic vent rather than an impact crater. The vent at the top of Omega Cauchy is called Donna.
Other prominent craters are da Vinci to the east and Sinas to the west.
Menzel, D. H.; Minnaert, M.; Levin, B.; Dollfus, A.; Bell, B. (1971). "Report on Lunar Nomenclature by the Working Group of Commission 17 of the IAU". Space Science Reviews. 12 (2): 136–186. Bibcode:1971SSRv...12..136M. doi:10.1007/BF00171763.
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